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Finding the Fourth Proportional to 2,389.10, 3,583.58 and 928.53

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Solution

The fourth proportional to 2,389.10, 3,583.58 and 928.53 is: 1,392.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.10 : 3,583.58 = 928.53 : x
  2. Step 2: Convert to fraction form
    2,389.10/3,583.58 = 928.53/x
  3. Step 3: Cross multiply
    2,389.10x = 3,583.58 × 928.53
  4. Step 4: Simplify right side
    2,389.10x = 3,327,456.89
  5. Step 5: Solve for x
    x = 3,327,456.89/2,389.10
  6. Step 6: Final answer
    x = 1,392.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.